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22221102112 = 2511210156821
BaseRepresentation
bin10100101100011110…
…110001110000100000
32010100121220221112221
4110230132301300200
5331002100231422
614112551200424
71414442152156
oct245436616040
963317827487
1022221102112
119473261a00
124381976114
1321318b7241
14110b2973d6
158a0c553c7
hex52c7b1c20

22221102112 has 72 divisors (see below), whose sum is σ = 48563376876. Its totient is φ = 10000320000.

The previous prime is 22221102077. The next prime is 22221102133. The reversal of 22221102112 is 21120112222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21070264336 + 1150837776 = 145156^2 + 33924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362662 + ... + 419482.

Almost surely, 222221102112 is an apocalyptic number.

22221102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24281688438).

22221102112 is an abundant number, since it is smaller than the sum of its proper divisors (26342274764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22221102112 is a wasteful number, since it uses less digits than its factorization.

22221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56954 (or 56935 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221102112 its reverse (21120112222), we get a palindrome (43341214334).

It can be divided in two parts, 2222110 and 2112, that added together give a palindrome (2224222).

The spelling of 22221102112 in words is "twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 121 176 202 242 352 404 484 808 968 1111 1616 1936 2222 3232 3872 4444 8888 12221 17776 24442 35552 48884 56821 97768 113642 195536 227284 391072 454568 625031 909136 1250062 1818272 2500124 5000248 5738921 6875341 10000496 11477842 13750682 20000992 22955684 27501364 45911368 55002728 63128131 91822736 110005456 126256262 183645472 220010912 252512524 505025048 694409441 1010050096 1388818882 2020100192 2777637764 5555275528 11110551056 22221102112